4930996416640 has 256 divisors, whose sum is σ = 13663365120000. Its totient is φ = 1666701324288.

The previous prime is 4930996416557. The next prime is 4930996416649. The reversal of 4930996416640 is 466146990394.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4930996416649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241717161 + ... + 241737559.

It is an arithmetic number, because the mean of its divisors is an integer number (53372520000).

Almost surely, 2^{4930996416640} is an apocalyptic number.

4930996416640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4930996416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831682560000).

4930996416640 is an abundant number, since it is smaller than the sum of its proper divisors (8732368703360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4930996416640 is a wasteful number, since it uses less digits than its factorization.

4930996416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21187 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 61.

The spelling of 4930996416640 in words is "four trillion, nine hundred thirty billion, nine hundred ninety-six million, four hundred sixteen thousand, six hundred forty".